let I be Program of SCM+FSA; :: thesis: IC SCM+FSA in dom (Initialized I)
dom (Start-At (0,SCM+FSA)) = {(IC SCM+FSA)} by FUNCOP_1:19;
then ( dom (Initialized I) = (dom (I +* ((intloc 0) .--> 1))) \/ (dom (Start-At (0,SCM+FSA))) & IC SCM+FSA in dom (Start-At (0,SCM+FSA)) ) by FUNCT_4:def 1, TARSKI:def 1;
hence IC SCM+FSA in dom (Initialized I) by XBOOLE_0:def 3; :: thesis: verum